[tex] \frac{t - 1}{t} + \frac{t - 1}{t + 1} = 0 \\ \frac{ {t}^{2} - 1 + {t}^{2} - t }{t(t - 1)} = 0 \\ 2 {t}^{2} - t - 1 = 0 \times ( {t}^{2} - t) \\ 2 {t}^{2} - t - 1 = 0 \\ delta = 1 - 4 \times ( - 1) \times 2 = 1 + 8 = 9 \\ t1 = \frac{1 + 3}{2 \times 2} = \frac{4}{4} = 1 \\ t2 = \frac{1 - 3}{2 \times 2} = - \frac{1}{2} [/tex]
